Weierstrass integrability for a class of differential systems
We characterize the differential equations of the form x' = y, y' = an(x)yn + an-1(x)yn-1 + · · · + a1(x)y + a0(x), n ≥ 2, an(0) ̸= 0, where aj (x) are meromorphic functions in the variable x for j = 0, . . . , n that admits either a Weierstrass first integral or a Weierstrass inverse inte...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150724 |
| Acceso en línea: | https://ddd.uab.cat/record/150724 https://dx.doi.org/urn:doi:10.1080/14029251.2014.915165 |
| Access Level: | acceso abierto |
| Palabra clave: | Complex differential systems Weierstrass first integrals Weierstrass inverse integrating factor |
| Sumario: | We characterize the differential equations of the form x' = y, y' = an(x)yn + an-1(x)yn-1 + · · · + a1(x)y + a0(x), n ≥ 2, an(0) ̸= 0, where aj (x) are meromorphic functions in the variable x for j = 0, . . . , n that admits either a Weierstrass first integral or a Weierstrass inverse integrating factor. |
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